Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
<h3>What are perfect squares trinomials?</h3>
They are those expressions which are found by squaring binomial expressions.
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

Comparing this expression with the expression we're provided with:

we see that:

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
Learn more about perfect square trinomials here:
brainly.com/question/88561
True
Note that:

The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.
That is, sin x = cos (90 - x)
Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function
Mathematically:
since sec x = 1 / cos x
and, cos x = sin (90 - x)
therefore, sec x = 1 / sin (90 - x)
The graphs of the sine and secant functions are attached to this solution
Learn more here: brainly.com/question/9554579
Answer:
81x^4/16 (81x to the fourth over 16)
Step-by-step explanation:
First you apply the exponent rule: (a/b)^c -> a^c/b^c
So it looks like this: 3x^2/4^2
Then you apply the exponent to the whole thing, and 3^4 is 81, x^4 stays like that, and 2^4 is 16
You can't simplify any more after that so that's your answer
Hope this helps!
Answer:
There is a decreasing pattern the farther they are the less likely hit the target.
Step-by-step explanation: